If sinø + cosø =√3, Find the value of tanø + cotø
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Hey mate here is your answer,
SinA + cosA = √3
Squaring on both sides we get,
(SinA + cosA)² = (√3)²
Sin²A + cos²A +2sinAcosA = 3
1 + 2sinAcosA = 3
2sinAcosA = 3-1
SinAcosA = 2/2
sinAcosA = 1......................(!)
tanA+cotA = 1
sinA/cosA + cosA/sinA = 1
sin²A + cos²A /sinAcosA = 1
1/sinAcosA = 1
sinAcosA = 1.....................(ii)
From i) and ii)
Thus, tanA + cotA = 1
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